The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  1  2
 0  X  0  0  0  0  0  0  0  X X+2  X  2  2  X  X  2  0 X+2  X  X  X  X  0 X+2  X  0  X  2  0  X  2  2  2  0  2 X+2  0
 0  0  X  0  0  0  X X+2  X  X  X  0  0  X  X  2  2 X+2 X+2  2  X  2 X+2  2  0  0  0  X X+2 X+2  X  X  X  X  X  0  2  2
 0  0  0  X  0  X  X  X  2  0  0  2  2  2 X+2  X X+2 X+2  0  2 X+2  X  X  X X+2 X+2  2  0  X  0 X+2  X  X X+2  X  2  2  0
 0  0  0  0  X  X  2 X+2 X+2  0  X  X  0 X+2  X  2 X+2  X X+2  2  2  0  X  0 X+2  X  X  0  0  2  2  2  0  2  2  2  X  0
 0  0  0  0  0  2  2  2  2  2  0  0  2  0  0  0  0  0  2  2  2  2  2  2  0  2  2  0  0  2  0  2  2  2  2  0  2  0

generates a code of length 38 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+380x^32+384x^34+778x^36+896x^38+1068x^40+256x^42+276x^44+54x^48+2x^52+1x^64

The gray image is a code over GF(2) with n=152, k=12 and d=64.
This code was found by Heurico 1.16 in 87.8 seconds.